Posted by David Ha, Google Brain Resident

Abstract visual communication is a key part of how people convey ideas to one another. From a young age, children develop the ability to depict objects, and arguably even emotions, with only a few pen strokes. These simple drawings may not resemble reality as captured by a photograph, but they do tell us something about how people represent and reconstruct images of the world around them.

Vector drawings produced by sketch-rnn. |

In our recent paper, “A Neural Representation of Sketch Drawings”, we present a generative recurrent neural network capable of producing sketches of common objects, with the goal of training a machine to draw and generalize abstract concepts in a manner similar to humans. We train our model on a dataset of hand-drawn sketches, each represented as a sequence of motor actions controlling a pen: which direction to move, when to lift the pen up, and when to stop drawing. In doing so, we created a model that potentially has many applications, from assisting the creative process of an artist, to helping teach students how to draw.

While there is a already a large body of existing work on generative modelling of images using neural networks, most of the work focuses on modelling raster images represented as a 2D grid of pixels. While these models are currently able to generate realistic images, due to the high dimensionality of a 2D grid of pixels, a key challenge for them is to generate images with coherent structure. For example, these models sometimes produce amusing images of cats with three or more eyes, or dogs with multiple heads.

Examples of animals generated with the wrong number of body parts, produced using previous GAN models trained on 128×128 ImageNet dataset. The image above is Figure 29 of Generative Adversarial Networks, Ian Goodfellow, NIPS 2016 Tutorial. |

In this work, we investigate a lower-dimensional vector-based representation inspired by how people draw. Our model, sketch-rnn, is based on the sequence-to-sequence (seq2seq) autoencoder framework. It incorporates variational inference and utilizes hypernetworks as recurrent neural network cells. The goal of a seq2seq autoencoder is to train a network to encode an input sequence into a vector of floating point numbers, called a *latent* vector, and from this latent vector reconstruct an output sequence using a decoder that replicates the input sequence as closely as possible.

Schematic of sketch-rnn. |

In our model, we deliberately add noise to the latent vector. In our paper, we show that by inducing noise into the communication channel between the encoder and the decoder, the model is no longer be able to reproduce the input sketch exactly, but instead must learn to capture the essence of the sketch as a noisy latent vector. Our decoder takes this latent vector and produces a sequence of motor actions used to construct a new sketch. In the figure below, we feed several actual sketches of cats into the encoder to produce reconstructed sketches using the decoder.

Reconstructions from a model trained on cat sketches. |

It is important to emphasize that the reconstructed cat sketches are *not* copies of the input sketches, but are instead *new* sketches of cats with similar characteristics as the inputs. To demonstrate that the model is not simply copying from the input sequence, and that it actually learned something about the way people draw cats, we can try to feed in non-standard sketches into the encoder:

When we feed in a sketch of a three-eyed cat, the model generates a similar looking cat that has two eyes instead, suggesting that our model has learned that cats usually only have two eyes. To show that our model is not simply choosing the closest normal-looking cat from a large collection of memorized cat-sketches, we can try to input something totally different, like a sketch of a toothbrush. We see that the network generates a cat-like figure with long whiskers that mimics the features and orientation of the toothbrush. This suggests that the network has learned to encode an input sketch into a set of abstract cat-concepts embedded into the latent vector, and is also able to reconstruct an entirely new sketch based on this latent vector.

Not convinced? We repeat the experiment again on a model trained on pig sketches and arrive at similar conclusions. When presented with an eight-legged pig, the model generates a similar pig with only four legs. If we feed a truck into the pig-drawing model, we get a pig that looks a bit like the truck.

Reconstructions from a model trained on pig sketches. |

To investigate how these latent vectors encode conceptual animal features, in the figure below, we first obtain two latent vectors encoded from two very different pigs, in this case a pig head (in the green box) and a full pig (in the orange box). We want to get a sense of how our model learned to represent pigs, and one way to do this is to interpolate between the two different latent vectors, and visualize each generated sketch from each interpolated latent vector. In the figure below, we visualize how the sketch of the pig head slowly morphs into the sketch of the full pig, and in the process show how the model organizes the concepts of pig sketches. We see that the latent vector controls the relatively position and size of the nose relative to the head, and also the existence of the body and legs in the sketch.

Latent space interpolations generated from a model trained on pig sketches. |

We would also like to know if our model can learn representations of multiple animals, and if so, what would they look like? In the figure below, we generate sketches from interpolating latent vectors between a cat head and a full pig. We see how the representation slowly transitions from a cat head, to a cat with a tail, to a cat with a fat body, and finally into a full pig. Like a child learning to draw animals, our model learns to construct animals by attaching a head, feet, and a tail to its body. We see that the model is also able to draw cat heads that are distinct from pig heads.

Latent Space Interpolations from a model trained on sketches of both cats and pigs. |

These interpolation examples suggest that the latent vectors indeed encode conceptual features of a sketch. But can we use these features to augment other sketches without such features – for example, adding a body to a cat’s head?

Learned relationships between abstract concepts, explored using latent vector arithmetic. |

Indeed, we find that sketch drawing analogies are possible for our model trained on both cat and pig sketches. For example, we can subtract the latent vector of an encoded pig head from the latent vector of a full pig, to arrive at a vector that represents the concept of a body. Adding this difference to the latent vector of a cat head results in a full cat (i.e. cat head + body = full cat). These drawing analogies allow us to explore how the model organizes its latent space to represent different concepts in the manifold of generated sketches.

**Creative Applications**

In addition to the research component of this work, we are also super excited about potential creative applications of sketch-rnn. For instance, even in the simplest use case, pattern designers can apply sketch-rnn to generate a large number of similar, but unique designs for textile or wallpaper prints.

Similar, but unique cats, generated from a single input sketch (green and yellow boxes). |

As we saw earlier, a model trained to draw pigs can be made to draw pig-like trucks if given an input sketch of a truck. We can extend this result to applications that might help creative designers come up with abstract designs that can resonate more with their target audience.

For instance, in the figure below, we feed sketches of four different chairs into our cat-drawing model to produce four chair-like cats. We can go further and incorporate the interpolation methodology described earlier to explore the latent space of chair-like cats, and produce a large grid of generated designs to select from.

Exploring the latent space of generated chair-cats. |

Exploring the latent space between different objects can potentially enable creative designers to find interesting intersections and relationships between different drawings.

Exploring the latent space of generated sketches of everyday objects. Latent space interpolation from left to right, and then top to bottom. |

We can also use the decoder module of sketch-rnn as a standalone model and train it to predict different possible endings of incomplete sketches. This technique can lead to applications where the model assists the creative process of an artist by suggesting alternative ways to finish an incomplete sketch. In the above below, we draw different incomplete sketches (in red), and have the model come up with different possible ways to complete the drawings.

The model can start with incomplete sketches (the red partial sketches to the left of the vertical line) and automatically generate different completions. |

We can take this concept even further, and have different models complete the same incomplete sketch. In the figures below, we see how to make the same circle and square figures become a part of various ants, flamingos, helicopters, owls, couches and even paint brushes. By using a diverse set of models trained to draw various objects, designers can explore creative ways to communicate meaningful visual messages to their audience.

Predicting the endings of the same circle and square figures (center) using various sketch-rnn models trained to draw different objects. |

We are very excited about the future possibilities of generative vector image modelling. These models will enable many exciting new creative applications in a variety of different directions. They can also serve as a tool to help us improve our understanding of our own creative thought processes. Learn more about sketch-rnn by reading our paper, “A Neural Representation of Sketch Drawings”.

**Acknowledgements**

We thank Ian Johnson, Jonas Jongejan, Martin Wattenberg, Mike Schuster, Ben Poole, Kyle Kastner, Junyoung Chung, Kyle McDonald for their help with this project. This work was done as part of the Google Brain Residency program.

Source: Teaching Machines to Draw

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